Fuzzy linear systems
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Publication:5906382
DOI10.1016/S0165-0114(96)00270-9zbMath0929.15004MaRDI QIDQ5906382
Abraham Kandel, Menahem Friedman, Ming Ma
Publication date: 2 September 1999
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Theory of fuzzy sets, etc. (03E72) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Positive matrices and their generalizations; cones of matrices (15B48) Linear equations (linear algebraic aspects) (15A06)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fuzzy least squares
- Elementary fuzzy calculus
- Differentials of fuzzy functions
- Fuzzy linear regression and its applications to forecasting in uncertain environment
- Eigen fuzzy number sets
- The law of large numbers for fuzzy processes and the estimation problem
- Fuzzy data analysis by possibilistic linear models
- On the lack of inverses in fuzzy arithmetic
- Fuzzy sets and systems. Theory and applications
- Eigen fuzzy sets and fuzzy relations
- Embedding problem of fuzzy number space. I
- Embedding problem of fuzzy number space. III
- Fuzzy programming and linear programming with several objective functions
- Fuzzy variables
- The concept of a linguistic variable and its application to approximate reasoning. I
- Fuzzy eigenvalues and input-output analysis
- Fuzzy prediction based on regression models
- Exponential possibility regression analysis
- Fuzzy solution in fuzzy linear programming problems
- On Fuzzy Mapping and Control
- Operations on fuzzy numbers
- Fuzzy linear systems
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